Answer
$$
\begin{bmatrix}
4&-4&-5&3\\
-2&5&4&0
\end{bmatrix}
\begin{bmatrix}
z_1\\z_2\\z_3\\z_4
\end{bmatrix}
=
\begin{bmatrix}
4\\13
\end{bmatrix}
$$
Work Step by Step
Each column of the matrix is one of the vectors in the vector equation. Each entry in the vector is one of the coefficients multiplied by the vectors in the vector equation. The right hand side is the same in the vector equations and the matrix-vector equation.
Note that there are two rows and four columns in the matrix, corresponding to the four two-entried vectors in the vector equation; the vector has four entries, one for each coefficient in the vector equation.
